Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289164" target="_blank" >RIV/00216208:11320/14:10289164 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-54382-1_4" target="_blank" >http://dx.doi.org/10.1007/978-3-642-54382-1_4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-54382-1_4" target="_blank" >10.1007/978-3-642-54382-1_4</a>

Result language
angličtina
Original language name
Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves
Original language description
Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the implicit support function representation for thispurpose which can in certain cases considerably simplify this task. We describe possible strategies and demonstrate them on a simple example. We also exploit the implicit support function for a features-preserving approximation of the graph topologicallyequivalent to the curve. This contribution is meant as a first step towards an algorithm combining classical approaches with the dual description via the support function.
Czech name
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Czech description
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Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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